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    1. Complete the ordered pair so it is a solution to the given linear equation. give the answer as an ordered pair using parentheses and a comma.

    3x + y = -7 (,2

    2. solve these 2 system of equations

    x - y = -5
    x + 4y = 15

    5x + y = 0
    -5x + y = -10

    3. Find the slope, if possible of the line passing through the pair of points (1,9) and (2,6).

    © BrainMass Inc. brainmass.com October 5, 2022, 1:38 am ad1c9bdddf
    https://brainmass.com/math/linear-algebra/linear-equations-256242

    SOLUTION This solution is FREE courtesy of BrainMass!

    1. Complete the ordered pair so it is a solution to the given linear equation. give the answer as an ordered pair using parentheses and a comma.

    3x + y = -7 (,2

    y is given as 2

    so we have

    3x +2 = -7
    3x = -9
    x = -3

    ordered pair = (-3,2)

    2. solve these 2 system of equations

    x - y = -5
    x + 4y = 15

    doing (1) - (2) we have

    -y - 4y = -5 - 15
    -5y = -20
    y = 4
    x = -5 + y
    x = -5 + 4
    x = -1
    solution: x = -1, y = 4

    5x + y = 0
    -5x + y = -10

    Ading 1 and 2 we have;

    2y = -10
    y = -5
    x = 1 (from equation 1) [ 5x -5 = 0; so 5x = 5 so x =1]

    3. Find the slope, if possible of the line passing through the pair of points (1,9) and (2,6).

    slope = [y-y1] / [x-x1]

    = [9 - 6] / [ 1 - 2]
    = -3

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com October 5, 2022, 1:38 am ad1c9bdddf>
    https://brainmass.com/math/linear-algebra/linear-equations-256242

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